As if poor Harvey Weinstein wasn’t having enough problems with this year’s Oscar race, Academy voters and other “Hollywood insiders” are being given a chance to publicly repudiate his triumphs of a decade ago. Harvey was still running Miramax for Disney at the 1998 Oscars, when “Shakespeare in Love” upset the heavily favored “Saving Private Ryan” for the Best Picture Oscar, copping six other statuettes including Best Actress for Gwyneth Paltrow and Best Supporting Actress for Judi Dench’s five-minute cameo as Elizabeth I. Even more astoundingly, Roberto Begnini won Best Actor for another Miramax offering, the treacly Holocaust dramedy “Life is Beautiful.” A decade later, “Private Ryan” is considered a classic while “Shakespeare” is widely derided as one of the weakest Oscar winners ever (who played Shakespeare again? Was that Ben Affleck — Gwyneth’s boyfriend at the time — in a doublet?). Neither Paltrow nor Begnini, who have gone on to problematic careers (especially Begnini, whose work is now universally regarded as cringeworthy) ever received another Oscar nomination. Begnini did receive a Razzie award for worst actor for “Pinocchio,” which was so bad that Miramax dumped it without critics screenings in a version where Begnini’s voice was dubbed by Breckin Meyer. Now Oscar voters and other “insiders” (like agents) are being polled by EW, which will publish their new votes for the 2003, 1998, 1993, 1988 and 1983 Oscar races for the top six categories. While I’d love to see “The Right Stuff” take the 1983 Best Picture Oscar away from “Terms of Endearment,” the 1998 race overwhelmingly seems like the one where history is most likely to be rewritten, with “Private Ryan,” Cate Blanchett (“Elizabeth”) and Tom Hanks dethroning Harvey’s champs. I love the idea for the re-vote, which was inspired by a comment from Matt Damon, whose career survived a stint at Miramax.